Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262d |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1172785315568256 = 27 · 32 · 13 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42252034,-105728451980] |
[a1,a2,a3,a4,a6] |
Generators |
[39134803675158107811:-11610731351049470455268:443618848926163] |
Generators of the group modulo torsion |
j |
56350733547218620537/7922304 |
j-invariant |
L |
4.0163966316704 |
L(r)(E,1)/r! |
Ω |
0.059215806444072 |
Real period |
R |
33.913213995187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786bo2 1794d2 |
Quadratic twists by: -3 -23 |